QUOTIENT HYPER HOOP-ALGEBRAS

Authors

  • R.A. Borzooei Shahid Beheshti University - Department of Mathematics
  • H.R. Varasteh Payam e Noor University - Department of Mathematics
  • K. Borna Kharazmi University - Faculty of Mathematics and Computer Science

Keywords:

Hyper hoop-algebra, (strong) regular relation, quotient hyper hoop-algebra, maximal filter

Abstract

In this paper, by considering the notion of hyper hoop-algebras, we define the concepts of (strong) regular relations on hyper hoop-algebras and investigate some properties of them.  Then we construct a quotient (hyper) hoop-algebra by a (strong)regular relation on hyper hoop-algebras.  Finally, we define the notion of maximal filter and we investigate the relation between quotient simple hyper hoop-algebras and maximal filters.

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Published

2016-07-29

How to Cite

Borzooei, R., Varasteh, H., & Borna, K. (2016). QUOTIENT HYPER HOOP-ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 36, 87–100. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6651

Issue

Section

Articoli - Forum Editrice

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